-(-4a%2B6)%3D(8a%2B1)-3(2a%2B3).jpeg "(5-3a)-(-4a+6)=(8a+1)-3(2a+3)")
Solving the Equation: (5-3a)-(-4a+6)=(8a+1)-3(2a+3)
In this article, we will solve the equation (5-3a)-(-4a+6)=(8a+1)-3(2a+3) step by step.
Step 1: Simplify the Left-Hand Side (LHS)
Let's simplify the left-hand side of the equation:
(5-3a)-(-4a+6)
= (5 - 3a) + (4a - 6)
= 5 - 3a + 4a - 6
= 5 - 6 - 3a + 4a
= -1 + a
So, the simplified LHS is -1 + a.
Step 2: Simplify the Right-Hand Side (RHS)
Now, let's simplify the right-hand side of the equation:
(8a+1)-3(2a+3)
= (8a + 1) - (6a + 9)
= 8a + 1 - 6a - 9
= 2a - 8
So, the simplified RHS is 2a - 8.
Step 3: Equate the Simplified Expressions
Now that we have simplified both the LHS and RHS, we can equate them:
-1 + a = 2a - 8
Step 4: Solve for a
Let's solve for a by adding 1 to both sides of the equation:
a = 2a - 7
Subtract 2a from both sides:
-a = -7
Divide both sides by -1:
a = 7
Therefore, the value of a is 7.
That's it! We have successfully solved the equation (5-3a)-(-4a+6)=(8a+1)-3(2a+3).
